Transcript Fractions IV Equivalent Fractions

Today we will understand
that fractions have
equivalents
Equivalent=the same or
equal
Equivalent Fractions

Name the same amount but have
different numerators and
denominators.
1
2
1 = 2
2
4
1
4
1
4
Equivalent Fractions

Are sometimes called equal
fractions: two or more fractions
that name the same number.
1
2
1 = 2
2
4
1
4
1
4
Equivalent Fraction Models
1
2
=
2
4
=
3
6
Equivalent Fraction Models
1
2
=
4
8
=
5
10
Equivalent Fraction Models
1
2
=
4
8
Equivalent Fraction Models
3
4
=
6
8
Equivalent Fraction Models
2
3
=
4
6
So how can we relate this to
dollars and cents? If this was
a dollar, how much would
So each ¼ is equal
each ¼ equal?
.25
.25
.25
.25
to 25/100
Great! ¼ is
equivalent to 25/100!
Why is this true? If we take
a dollar, which has 100
pennies and divide it by the
denominator (which is 4),
then we would end up with
25. That’s 25 pennies!
So how can we relate this to
dollars and cents? If this was
a dollar, how much would
each ½ equal? So each ½ is equal to
.50
.50
50/100
Great! ½ is equivalent
to 50/100!
Why is this true? If we take
a dollar, which has 100
pennies and divide it by the
denominator (which is 2),
then we would end up with
50. That’s 50 pennies!
Why is this important?
• Sometimes on a test, you won’t see
your answer, even though it’s right! It
will be an equivalent fraction!
•You will know how to make simpler
fractions to work with instead of big
numbers!
•Can you think of any other reasons?
How do we make equivalent
fractions?
1. Check to see if both numbers divide by
the same number evenly
2. If they do, divide by that number in the
numerator AND denominator
3. If not, chose a number to multiply by
and multiply the numerator and
denominator by that number
Here’s how…..
1. Check to see if both numbers
divide by the same number
evenly
2. If they do, divide by that
number in the numerator
AND denominator
3. If not, chose a number to
multiply by and multiply the
numerator and denominator
by that number
5/15 =
a.½
b.¾
c.1/3
d.1/4
Here’s how…..
1. Check to see if both numbers
divide by the same number
evenly
2. If they do, divide by that
number in the numerator
AND denominator
3. If not, chose a number to
multiply by and multiply the
numerator and denominator
by that number
4/16=
a.½
b.¾
c.1/3
d.1/4
Here’s how…..
1. Check to see if both numbers
divide by the same number
evenly
2. If they do, divide by that
number in the numerator
AND denominator
3. If not, chose a number to
multiply by and multiply the
numerator and denominator
by that number
6/12 =
a.½
b.¾
c.1/3
d.1/4
Here’s how…..
1. Check to see if both numbers
divide by the same number
evenly
2. If they do, divide by that
number in the numerator
AND denominator
3. If not, chose a number to
multiply by and multiply the
numerator and denominator
by that number
2/3=
a.6/8
b.¾
c.1/3
d.4/6
You try…..
1. Check to see if both numbers
divide by the same number
evenly
2. If they do, divide by that
number in the numerator
AND denominator
3. If not, chose a number to
multiply by and multiply the
numerator and denominator
by that number
6/8 =
a.½
b.¾
c.1/3
d.1/4
Try another….
1. Check to see if both numbers
divide by the same number
evenly
2. If they do, divide by that
number in the numerator
AND denominator
3. If not, chose a number to
multiply by and multiply the
numerator and denominator
by that number
7/21 =
a.½
b.¾
c.1/3
d.1/4
What did you learn today?
1. What is an equivalent fraction?
2. How do you find equivalent fractions?
3. Why is it important?